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Choreography CH.378

From Hristov, Hristova, Puzynin, Puzynina, Sharipov & Tukhliev (2023)

Choreography CH.378 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 705.78 time units, published by Hristov, Hristova, Puzynin, Puzynina, Sharipov & Tukhliev (2023). All three bodies follow one closed curve, each a third of a period behind the next. Every one here is linearly stable. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.354 of each other at a top speed of 1.82, line up 876 times a period, and the computed loop closes to 5.5×10⁻²⁸.

Measured over one period

Period: 705.7833661
Masses: 1 : 1 : 1
Energy: -1.53987
Angular momentum: 0
Closest approach: 0.3543
Top speed: 1.824
Path length: 1992.9
Alignments per period: 876
Stability: stable (|λ|max 1.000, published)
Loop closure: 5.5×10⁻²⁸

Neighbours on the map

All Choreographies, the families of periodic three-body orbits, or the atlas map.